Answered: x2-2x-8 if x + 4 f(x) = ; a = 4 %3D х-4…

Math

Calculus

x2-2x-8 if x + 4 f(x) = ; a = 4 %3D х-4 (3 . if x = 4 %3D

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.4: Factoring Polynomials

Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Explain why the function is discontinuous at a given number. Sketch the graph of the function.

x²-2x-8
if x # 4
f(x) =
a = 4
%3D
X-4
if x = 4

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